Monte Carlo Analysis of Finite-Size Effects in the Three-Dimensional Three-State Potts Model
Conference paper
Abstract
A Monte Carlo study of the three-state Potts model in three dimensions is carried out. By using a histogram method recently proposed by Ferrenberg and Swendsen [Phys. Rev. Lett 61, 2635 (1988)], the finite-size dependence for the maximum of the specific heat is found to scale with the volume of the system, indicating that the phase transition is of first order. The value of the latent heat per spin and the correlation length at the transition are estimated.
Preview
Unable to display preview. Download preview PDF.
References
- 1.R. V. Ditzian and J. Oitmaa, J. Phys. A 7, L61 (1974).ADSCrossRefGoogle Scholar
- 2.J. P. Straley, J. Phys. A7, 2173 (1974).ADSGoogle Scholar
- 3.I. G. Enting, J. Phys. A 7, 1617 (1974).ADSCrossRefGoogle Scholar
- 4.I. G. Enting and C. Domb J. Phys. A 8, 1228 (1974).ADSCrossRefGoogle Scholar
- 5.S. Alexander, Solid State Commun 14, 1069 (1974).ADSCrossRefGoogle Scholar
- 6.E. Golner, Phys. Rev. B 8, 3419 (1973).ADSCrossRefGoogle Scholar
- 7.J. Rudnick, J. Phys. A8, 1125 (1975).ADSGoogle Scholar
- 8.T. W. Burkhardt, H. J. F. Knops, and M. den Nijs, J. Phys. A 9, L179 (1976).ADSCrossRefGoogle Scholar
- 9.H. J. Herrmann, Z. Physik B 35, 171 (1979).ADSCrossRefGoogle Scholar
- 10.H. W. J. Blote and R.H. Swendsen, Phys. Rev. Lett. 43, 799 (1979).ADSCrossRefGoogle Scholar
- 11.S. J. Knak Jensen and O. G. Mouritsen, Phys. Rev. Lett. 43, 1736 (1979).ADSCrossRefGoogle Scholar
- 12.W. G. Wilson and C. A. Vause, Phys. Rev. B36, 587 (1987).ADSGoogle Scholar
- 13.M. Fukugita and M. Okawa, Phy. Rev. Lett. 63, 13 (1989). R. V. Gavai, F. Karsch, and B. Petersson, Nucl. Phys. B322[FS3], 738 (1989).ADSCrossRefGoogle Scholar
- 14.F. Y. Wu, Rev. Mod. Phys. 54, 1 (1982).CrossRefGoogle Scholar
- 15.A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 61, 2635 (1989). Earlier works using the histogram method are: Z. W. Salsburg, W. Fickett, and W. W. Wood, J. Chem. Phys. 30, 65 (1959); I. R. McDonald and K. Singer, Discuss. Faraday Soc. 43, 40 (1967). Further discussion of the present method is found in A. M. Ferrenberg and R. H. Swendsen Phys. Rev. Lett. 63, 1195 (1989). See also the latter reference for a more complete list of works using the histogram method.ADSCrossRefGoogle Scholar
- 16.M. S. S. Challa, D. P. Landau, and K. Binder, Phys. Rev. B 34, 1841, (1986)ADSGoogle Scholar
- 17.L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5 of Statistical Physics (Pergamon, New York, 1985).Google Scholar
Copyright information
© Springer-Verlag Berlin Heidelberg 1991